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2246120 = 235233241
BaseRepresentation
bin1000100100010111101000
311020010002122
420210113220
51033333440
6120050412
725043312
oct10442750
94203078
102246120
1112a45a8
12903a08
13608486
144267b2
152e57b5
hex2245e8

2246120 has 32 divisors (see below), whose sum is σ = 5096520. Its totient is φ = 890880.

The previous prime is 2246117. The next prime is 2246129. The reversal of 2246120 is 216422.

It can be written as a sum of positive squares in 4 ways, for example, as 1747684 + 498436 = 1322^2 + 706^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9200 + ... + 9440.

22246120 is an apocalyptic number.

2246120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246120 is an abundant number, since it is smaller than the sum of its proper divisors (2850400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2246120 is a wasteful number, since it uses less digits than its factorization.

2246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2246120 is about 1498.7061086150. The cubic root of 2246120 is about 130.9617043237.

The spelling of 2246120 in words is "two million, two hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 241 466 482 932 964 1165 1205 1864 1928 2330 2410 4660 4820 9320 9640 56153 112306 224612 280765 449224 561530 1123060 2246120